Issue: 2020/Vol.30/No.1, Pages 85-96
GOAL PROGRAMMING APPROACH FOR SOLVING HEPTAGONAL FUZZY TRANSPORTATION PROBLEM UNDER BUDGETRY CONSTRAINT
Hamiden Abd El-Wahed Khalifa
Cite as: H. A. E. Khalifa. Goal programming approach for solving heptagonal fuzzy transportation problem under budgetry constraint. Operations Research and Decisions 2020: 30(1), 85-96. DOI 10.37190/ord200105
Abstract
Transportation problem (TP) is a special type of linear programming problem (LPP) where the objective is to minimize the cost of distributing a product from several sources (or origins) to some destinations. This paper addresses a transportation problem in which the costs, supplies, and demands are represented as heptagonal fuzzy numbers. After converting the problem into the corresponding crisp TP using the ranking method, a goal programming (GP) approach is applied for obtaining the optimal solution. The advantage of GP for the decision-maker is easy to explain and implement in real life transportation. The stability set of the first kind corresponding to the optimal solution is determined. A numerical example is given to highlight the solution approach.
Keywords: transportation problem, heptagonal fuzzy numbers, ranking method, goal programming, parametric study
Received: 30 June 2019 Accepted: 18 April 2020